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Finding the Third Proportional to 254.88 and 509.13

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Solution

The third proportional to 254.88 and 509.13 is: 1,017.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.88 : 509.13 = 509.13 : x
  2. Step 2: Convert to fraction form
    254.88/509.13 = 509.13/x
  3. Step 3: Cross multiply
    254.88x = 509.13 × 509.13
  4. Step 4: Simplify right side
    254.88x = 259,208.27
  5. Step 5: Solve for x
    x = 259,208.27/254.88
  6. Step 6: Final answer
    x = 1,017.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.